# NLP written by GAMS Convert at 03/03/22 14:43:30
#
# Equation counts
#     Total        E        G        L        N        X        C        B
#        81        0        6       75        0        0        0        0
#
# Variable counts
#                  x        b        i      s1s      s2s       sc       si
#     Total     cont   binary  integer     sos1     sos2    scont     sint
#        55       55        0        0        0        0        0        0
# FX      0
#
# Nonzero counts
#     Total    const       NL
#       312       12      300
#
# Reformulation has removed 1 variable and 1 equation

var x1 := 6.21460809842219, >= 6.21460809842219, <= 8.41183267575841;
var x2 := 6.21460809842219, >= 6.21460809842219, <= 8.41183267575841;
var x3 := 6.21460809842219, >= 6.21460809842219, <= 8.41183267575841;
var x4 := 160, >= 160, <= 163.752806164;
var x5 := 160, >= 160, <= 163.752806164;
var x6 := 160, >= 160, <= 163.752806164;
var x7 := 160, >= 160, <= 163.752806164;
var x8 := 160, >= 160, <= 163.752806164;
var x9 := 160, >= 160, <= 178.461227596;
var x10 := 160, >= 160, <= 178.461227596;
var x11 := 160, >= 160, <= 178.461227596;
var x12 := 160, >= 160, <= 178.461227596;
var x13 := 160, >= 160, <= 178.461227596;
var x14 := 160, >= 160, <= 200;
var x15 := 160, >= 160, <= 200;
var x16 := 160, >= 160, <= 200;
var x17 := 160, >= 160, <= 200;
var x18 := 160, >= 160, <= 200;
var x19 := 160, >= 160, <= 221.538772404;
var x20 := 160, >= 160, <= 221.538772404;
var x21 := 160, >= 160, <= 221.538772404;
var x22 := 160, >= 160, <= 221.538772404;
var x23 := 160, >= 160, <= 221.538772404;
var x24 := 160, >= 160, <= 236.247193836;
var x25 := 160, >= 160, <= 236.247193836;
var x26 := 160, >= 160, <= 236.247193836;
var x27 := 160, >= 160, <= 236.247193836;
var x28 := 160, >= 160, <= 236.247193836;
var x29 := 60, >= 60, <= 63.752806164;
var x30 := 60, >= 60, <= 78.461227596;
var x31 := 60, >= 60, <= 100;
var x32 := 60, >= 60, <= 121.538772404;
var x33 := 60, >= 60, <= 136.247193836;
var x34 := 60, >= 60, <= 63.752806164;
var x35 := 60, >= 60, <= 78.461227596;
var x36 := 60, >= 60, <= 100;
var x37 := 60, >= 60, <= 121.538772404;
var x38 := 60, >= 60, <= 136.247193836;
var x39 := 60, >= 60, <= 63.752806164;
var x40 := 60, >= 60, <= 78.461227596;
var x41 := 60, >= 60, <= 100;
var x42 := 60, >= 60, <= 121.538772404;
var x43 := 60, >= 60, <= 136.247193836;
var x44 := 60, >= 60, <= 63.752806164;
var x45 := 60, >= 60, <= 78.461227596;
var x46 := 60, >= 60, <= 100;
var x47 := 60, >= 60, <= 121.538772404;
var x48 := 60, >= 60, <= 136.247193836;
var x49 := 60, >= 60, <= 63.752806164;
var x50 := 60, >= 60, <= 78.461227596;
var x51 := 60, >= 60, <= 100;
var x52 := 60, >= 60, <= 121.538772404;
var x53 := 60, >= 60, <= 136.247193836;
var x54 := 4.82831, >= 4.82831, <= 7.1591;
var x55 := 4.42285, >= 4.42285, <= 6.7071;

minimize obj: 0.3 * (10 * exp(0.6 * x1) + 10 * exp(0.6 * x2) + 10 * exp(0.6 *
    x3)) - 1.54711033913716e-06 * x4 - 0.000219040316990534 * x5 -
    0.00264813118267794 * x6 - 0.000219040316990534 * x7 - 1.54711033913716e-06
    * x8 - 0.000219040316990533 * x9 - 0.0310117896917886 * x10 -
    0.374923157717238 * x11 - 0.0310117896917886 * x12 - 0.000219040316990532 *
    x13 - 0.00264813118267793 * x14 - 0.374923157717237 * x15 -
    4.5327075795914 * x16 - 0.374923157717237 * x17 - 0.00264813118267791 * x18
    - 0.000219040316990532 * x19 - 0.0310117896917884 * x20 -
    0.374923157717236 * x21 - 0.0310117896917884 * x22 - 0.000219040316990531 *
    x23 - 1.54711033913713e-06 * x24 - 0.000219040316990529 * x25 -
    0.00264813118267789 * x26 - 0.000219040316990529 * x27 -
    1.54711033913712e-06 * x28 - 1.9690495225382e-06 * x29 -
    0.000278778585260679 * x30 - 0.00337034877795374 * x31 -
    0.000278778585260679 * x32 - 1.9690495225382e-06 * x33 -
    0.000278778585260679 * x34 - 0.0394695505168218 * x35 - 0.477174928003758 *
    x36 - 0.0394695505168218 * x37 - 0.000278778585260677 * x38 -
    0.00337034877795372 * x39 - 0.477174928003756 * x40 - 5.7689005558436 * x41
    - 0.477174928003756 * x42 - 0.00337034877795371 * x43 -
    0.000278778585260677 * x44 - 0.0394695505168216 * x45 - 0.477174928003755 *
    x46 - 0.0394695505168216 * x47 - 0.000278778585260676 * x48 -
    1.96904952253816e-06 * x49 - 0.000278778585260674 * x50 -
    0.00337034877795367 * x51 - 0.000278778585260674 * x52 -
    1.96904952253816e-06 * x53;

subject to

e1:  x1 - x54 >= 0.693147180559945;
e2:  x2 - x54 >= 1.09861228866811;
e3:  x3 - x54 >= 1.38629436111989;
e4:  x1 - x55 >= 1.38629436111989;
e5:  x2 - x55 >= 1.79175946922805;
e6:  x3 - x55 >= 1.09861228866811;
e7:  x4 * exp(2.07944154167984 - x54) + x29 * exp(2.77258872223978 - x55) <= 8;
e8:  x5 * exp(2.07944154167984 - x54) + x30 * exp(2.77258872223978 - x55) <= 8;
e9:  x6 * exp(2.07944154167984 - x54) + x31 * exp(2.77258872223978 - x55) <= 8;
e10:  x7 * exp(2.07944154167984 - x54) + x32 * exp(2.77258872223978 - x55)
      <= 8;
e11:  x8 * exp(2.07944154167984 - x54) + x33 * exp(2.77258872223978 - x55)
      <= 8;
e12:  x9 * exp(2.07944154167984 - x54) + x34 * exp(2.77258872223978 - x55)
      <= 8;
e13:  x10 * exp(2.07944154167984 - x54) + x35 * exp(2.77258872223978 - x55)
      <= 8;
e14:  x11 * exp(2.07944154167984 - x54) + x36 * exp(2.77258872223978 - x55)
      <= 8;
e15:  x12 * exp(2.07944154167984 - x54) + x37 * exp(2.77258872223978 - x55)
      <= 8;
e16:  x13 * exp(2.07944154167984 - x54) + x38 * exp(2.77258872223978 - x55)
      <= 8;
e17:  x14 * exp(2.07944154167984 - x54) + x39 * exp(2.77258872223978 - x55)
      <= 8;
e18:  x15 * exp(2.07944154167984 - x54) + x40 * exp(2.77258872223978 - x55)
      <= 8;
e19:  x16 * exp(2.07944154167984 - x54) + x41 * exp(2.77258872223978 - x55)
      <= 8;
e20:  x17 * exp(2.07944154167984 - x54) + x42 * exp(2.77258872223978 - x55)
      <= 8;
e21:  x18 * exp(2.07944154167984 - x54) + x43 * exp(2.77258872223978 - x55)
      <= 8;
e22:  x19 * exp(2.07944154167984 - x54) + x44 * exp(2.77258872223978 - x55)
      <= 8;
e23:  x20 * exp(2.07944154167984 - x54) + x45 * exp(2.77258872223978 - x55)
      <= 8;
e24:  x21 * exp(2.07944154167984 - x54) + x46 * exp(2.77258872223978 - x55)
      <= 8;
e25:  x22 * exp(2.07944154167984 - x54) + x47 * exp(2.77258872223978 - x55)
      <= 8;
e26:  x23 * exp(2.07944154167984 - x54) + x48 * exp(2.77258872223978 - x55)
      <= 8;
e27:  x24 * exp(2.07944154167984 - x54) + x49 * exp(2.77258872223978 - x55)
      <= 8;
e28:  x25 * exp(2.07944154167984 - x54) + x50 * exp(2.77258872223978 - x55)
      <= 8;
e29:  x26 * exp(2.07944154167984 - x54) + x51 * exp(2.77258872223978 - x55)
      <= 8;
e30:  x27 * exp(2.07944154167984 - x54) + x52 * exp(2.77258872223978 - x55)
      <= 8;
e31:  x28 * exp(2.07944154167984 - x54) + x53 * exp(2.77258872223978 - x55)
      <= 8;
e32:  x4 * exp(2.99573227355399 - x54) + x29 * exp(1.38629436111989 - x55)
      <= 8;
e33:  x5 * exp(2.99573227355399 - x54) + x30 * exp(1.38629436111989 - x55)
      <= 8;
e34:  x6 * exp(2.99573227355399 - x54) + x31 * exp(1.38629436111989 - x55)
      <= 8;
e35:  x7 * exp(2.99573227355399 - x54) + x32 * exp(1.38629436111989 - x55)
      <= 8;
e36:  x8 * exp(2.99573227355399 - x54) + x33 * exp(1.38629436111989 - x55)
      <= 8;
e37:  x9 * exp(2.99573227355399 - x54) + x34 * exp(1.38629436111989 - x55)
      <= 8;
e38:  x10 * exp(2.99573227355399 - x54) + x35 * exp(1.38629436111989 - x55)
      <= 8;
e39:  x11 * exp(2.99573227355399 - x54) + x36 * exp(1.38629436111989 - x55)
      <= 8;
e40:  x12 * exp(2.99573227355399 - x54) + x37 * exp(1.38629436111989 - x55)
      <= 8;
e41:  x13 * exp(2.99573227355399 - x54) + x38 * exp(1.38629436111989 - x55)
      <= 8;
e42:  x14 * exp(2.99573227355399 - x54) + x39 * exp(1.38629436111989 - x55)
      <= 8;
e43:  x15 * exp(2.99573227355399 - x54) + x40 * exp(1.38629436111989 - x55)
      <= 8;
e44:  x16 * exp(2.99573227355399 - x54) + x41 * exp(1.38629436111989 - x55)
      <= 8;
e45:  x17 * exp(2.99573227355399 - x54) + x42 * exp(1.38629436111989 - x55)
      <= 8;
e46:  x18 * exp(2.99573227355399 - x54) + x43 * exp(1.38629436111989 - x55)
      <= 8;
e47:  x19 * exp(2.99573227355399 - x54) + x44 * exp(1.38629436111989 - x55)
      <= 8;
e48:  x20 * exp(2.99573227355399 - x54) + x45 * exp(1.38629436111989 - x55)
      <= 8;
e49:  x21 * exp(2.99573227355399 - x54) + x46 * exp(1.38629436111989 - x55)
      <= 8;
e50:  x22 * exp(2.99573227355399 - x54) + x47 * exp(1.38629436111989 - x55)
      <= 8;
e51:  x23 * exp(2.99573227355399 - x54) + x48 * exp(1.38629436111989 - x55)
      <= 8;
e52:  x24 * exp(2.99573227355399 - x54) + x49 * exp(1.38629436111989 - x55)
      <= 8;
e53:  x25 * exp(2.99573227355399 - x54) + x50 * exp(1.38629436111989 - x55)
      <= 8;
e54:  x26 * exp(2.99573227355399 - x54) + x51 * exp(1.38629436111989 - x55)
      <= 8;
e55:  x27 * exp(2.99573227355399 - x54) + x52 * exp(1.38629436111989 - x55)
      <= 8;
e56:  x28 * exp(2.99573227355399 - x54) + x53 * exp(1.38629436111989 - x55)
      <= 8;
e57:  x4 * exp(2.07944154167984 - x54) + x29 * exp(1.38629436111989 - x55)
      <= 8;
e58:  x5 * exp(2.07944154167984 - x54) + x30 * exp(1.38629436111989 - x55)
      <= 8;
e59:  x6 * exp(2.07944154167984 - x54) + x31 * exp(1.38629436111989 - x55)
      <= 8;
e60:  x7 * exp(2.07944154167984 - x54) + x32 * exp(1.38629436111989 - x55)
      <= 8;
e61:  x8 * exp(2.07944154167984 - x54) + x33 * exp(1.38629436111989 - x55)
      <= 8;
e62:  x9 * exp(2.07944154167984 - x54) + x34 * exp(1.38629436111989 - x55)
      <= 8;
e63:  x10 * exp(2.07944154167984 - x54) + x35 * exp(1.38629436111989 - x55)
      <= 8;
e64:  x11 * exp(2.07944154167984 - x54) + x36 * exp(1.38629436111989 - x55)
      <= 8;
e65:  x12 * exp(2.07944154167984 - x54) + x37 * exp(1.38629436111989 - x55)
      <= 8;
e66:  x13 * exp(2.07944154167984 - x54) + x38 * exp(1.38629436111989 - x55)
      <= 8;
e67:  x14 * exp(2.07944154167984 - x54) + x39 * exp(1.38629436111989 - x55)
      <= 8;
e68:  x15 * exp(2.07944154167984 - x54) + x40 * exp(1.38629436111989 - x55)
      <= 8;
e69:  x16 * exp(2.07944154167984 - x54) + x41 * exp(1.38629436111989 - x55)
      <= 8;
e70:  x17 * exp(2.07944154167984 - x54) + x42 * exp(1.38629436111989 - x55)
      <= 8;
e71:  x18 * exp(2.07944154167984 - x54) + x43 * exp(1.38629436111989 - x55)
      <= 8;
e72:  x19 * exp(2.07944154167984 - x54) + x44 * exp(1.38629436111989 - x55)
      <= 8;
e73:  x20 * exp(2.07944154167984 - x54) + x45 * exp(1.38629436111989 - x55)
      <= 8;
e74:  x21 * exp(2.07944154167984 - x54) + x46 * exp(1.38629436111989 - x55)
      <= 8;
e75:  x22 * exp(2.07944154167984 - x54) + x47 * exp(1.38629436111989 - x55)
      <= 8;
e76:  x23 * exp(2.07944154167984 - x54) + x48 * exp(1.38629436111989 - x55)
      <= 8;
e77:  x24 * exp(2.07944154167984 - x54) + x49 * exp(1.38629436111989 - x55)
      <= 8;
e78:  x25 * exp(2.07944154167984 - x54) + x50 * exp(1.38629436111989 - x55)
      <= 8;
e79:  x26 * exp(2.07944154167984 - x54) + x51 * exp(1.38629436111989 - x55)
      <= 8;
e80:  x27 * exp(2.07944154167984 - x54) + x52 * exp(1.38629436111989 - x55)
      <= 8;
e81:  x28 * exp(2.07944154167984 - x54) + x53 * exp(1.38629436111989 - x55)
      <= 8;